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Finding the Fourth Proportional to 9,853.49, 14,764.79 and 5,695.46

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Solution

The fourth proportional to 9,853.49, 14,764.79 and 5,695.46 is: 8,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,853.49 : 14,764.79 = 5,695.46 : x
  2. Step 2: Convert to fraction form
    9,853.49/14,764.79 = 5,695.46/x
  3. Step 3: Cross multiply
    9,853.49x = 14,764.79 × 5,695.46
  4. Step 4: Simplify right side
    9,853.49x = 84,092,211.27
  5. Step 5: Solve for x
    x = 84,092,211.27/9,853.49
  6. Step 6: Final answer
    x = 8,534.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.